/******************************************************************************

                              Online C++ Compiler.
               Code, Compile, Run and Debug C++ program online.
Write your code in this editor and press "Run" button to compile and execute it.

*******************************************************************************/

#include <iostream>
#include <cmath>

using namespace std;

//fact
double fact(int n) {
    if (n == 0) return 1;
    return n * fact(n - 1);
}

//taylor series for sin(x)
double myfunc(double x) {
    double sum = 0;

    double previous_result;
    for (int i = 0; i < 10; i++) {
        double result = pow(-1, i) * pow(x, 2 * i + 1) / fact(2 * i + 1);
        if(abs(result - previous_result) < 1e-15) {
            break;
        }
        previous_result = pow(-1, i) * pow(x, 2 * i + 1) / fact(2 * i + 1);
        sum += previous_result;
    }
    return sum;
}

int main()
{

    for(double i=0;i<6.14;i+=0.1){
        cout<<i<<" "<< myfunc(i)<<" "<<sin(i)<<endl;
    }

    return 0;
}